3 years ago

The following phrases describes a numerical value.

Mathematics

1 answer:

ruslelena [56]3 years ago

5 0

I believe the answer would be C.

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Suppose the system below is consistent for all possible values of f and g. What can you say about the coefficients c and d? Just

morpeh [17]

Answer:

The answer is " $d \neq 3c,$ f and g are arbitrary".

Step-by-step explanation:

The matrix of the device is increased

$\left[\begin{array}{ccc}1&3&f\\ c&d&g\\ \end{array}\right]$

Reduce the echelon row matrix

$\left[\begin{array}{ccc}1&3&f\\ c&d&g\\ \end{array}\right] \\\\R_1 \leftrightarrow R_2 \\\\\frac{R_2 -1}{C R_1 \to R_2} \sim \left[\begin{array}{ccc} c&d&g\\ 0 & \frac{3c-d}{c}& \frac{cf-g}{c}\\ \end{array}\right]$